Question

Which inequality represents this situation? jessica is stacking items on a shelf. she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. the shelf should hold at most 50 pounds. let x represent the number of large books. let y represent the number of medium books.

a. 5x 3y>50
b. 5x 3y<50
c. 5x 3y≥50
d. 5x 3y≤50

Answer 1

5x+3y≤50.  Letter D. is the answer.

Answer 2

Let

x--------> the number of large books

y-------> the number of medium books

we know that

`5x+3y \leq 50`

using a graph tool

see the attached figure

the solution is the shaded area

therefore

the answer is the option d

`5x+3y \leq 50`